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Dear Friend,

The file format is not known. So the attachment could not be opened. Still I write the following on the basis of the statement
in the letter.

Whether a decimal system is in place can be tested. Without the system of increment of
the place value (coefficient x digit) by multiples of 10 (ap of the log) a
numerical system cannot be called decimal in spite of the importance given to
the number 10 in it. In the Roman numeral system too X is important but, since
place value has no part to play in it, the Roman numerals do not form a decimal
system. There is another criterion without which it cannot work, namely, the
non-positive, non-negative digit that is 0 that is to be used in the number 10.
The said system is first found in the *Āryabhaṭīyam* which, however, has
akṣaras for digits. But the digits are the objects to be signified. One may conclude that by 499 AD the decimal system existed
in India. One has to prove that place value with the coefficient of the digit
increasing from 10^{0} onward with the exponent increasing in ap of the
series 0,1,2,3,4 etc exists in the said texts to confirm that their system is
decimal.

I request forgiveness for the tedious character of the letter. A more sprightly form is welcome.

Best

DB

Note: Forwarded message attached

-- Original Message --

From: alakendu das mailmealakendudas@REDIFFMAIL.COM

To: INDOLOGY@liverpool.ac.uk

Subject: [INDOLOGY] innovating the decimal system

-- Original Message --

From: alakendu das mailmealakendudas@REDIFFMAIL.COM

To: INDOLOGY@liverpool.ac.uk

Subject: [INDOLOGY] innovating the decimal system

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To all listed Members and scholars in Indology,

In course of my earnest study of Indology, ,I learnt that India of the Rig Vedic age was the first to innovate decimal system or place-value principle in Mathematics. Taitteriya Upanishads(one of the eleven Upanishads)have references of decimal system.In the "Shukla" version of Yajurveda , we find Medhatithi's verse in the Vajrasaneyi Samhita which speaks of the various powers of ten.Rigveda has evidences of writing 720 as "sapta satati vimsatih" or 1110 as "sahasrani sata dasha" Thus concepts like place -value , powers of ten dawned upon the Indians of the Rig Vedic age. while the romans could use upto 10 to the power 3 , and the greeks 10 to the power 4, it was quiet natural for the Rig vedic India to imagine 10 to the power 14.

Rig vedic age existed between 1500 B.C.and 500 B.C.

Can anyone enlighten me whether any other civilisation or age pre-dated the Rig Vedic India in innovating the Decimal system ?

Thanking You

ALAKENDU DAS

mailmealakendudas@redifmail.com

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